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Finding the Third Proportional to 1,658,832 and 2,536,362

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Solution

The third proportional to 1,658,832 and 2,536,362 is: 3,878,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,832 : 2,536,362 = 2,536,362 : x
  2. Step 2: Convert to fraction form
    1,658,832/2,536,362 = 2,536,362/x
  3. Step 3: Cross multiply
    1,658,832x = 2,536,362 × 2,536,362
  4. Step 4: Simplify right side
    1,658,832x = 6,433,132,195,044
  5. Step 5: Solve for x
    x = 6,433,132,195,044/1,658,832
  6. Step 6: Final answer
    x = 3,878,109.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.